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Finding the Fourth Proportional to 314,835.76, 434,482.50 and 171,605.08

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Solution

The fourth proportional to 314,835.76, 434,482.50 and 171,605.08 is: 236,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,835.76 : 434,482.50 = 171,605.08 : x
  2. Step 2: Convert to fraction form
    314,835.76/434,482.50 = 171,605.08/x
  3. Step 3: Cross multiply
    314,835.76x = 434,482.50 × 171,605.08
  4. Step 4: Simplify right side
    314,835.76x = 74,559,404,171.10
  5. Step 5: Solve for x
    x = 74,559,404,171.10/314,835.76
  6. Step 6: Final answer
    x = 236,820.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.